Magma V2.19-8 Wed Aug 21 2013 01:05:54 on localhost [Seed = 3599814267] Type ? for help. Type -D to quit. Loading file "L14n29637__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n29637 geometric_solution 11.97831088 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 0 0 0 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 4 -4 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469204767138 0.873061575361 0 5 7 6 0132 0132 0132 0132 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693139007942 0.504094488193 8 0 9 3 0132 0132 0132 1230 1 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 -4 0 0 -2 2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.902900066769 0.906285157142 2 9 6 0 3012 0132 0132 0132 1 1 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 -4 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.091574111561 0.673730922244 8 6 0 10 1023 0132 0132 0132 1 1 0 0 0 0 0 0 -1 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -4 0 4 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693139007942 0.504094488193 9 1 11 12 0213 0132 0132 0132 1 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733730959718 0.555328314401 9 4 1 3 2031 0132 0132 0132 1 1 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469204767138 0.873061575361 11 12 10 1 2310 0132 0132 0132 1 1 0 1 0 -1 1 0 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 3 0 0 -3 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.075846172900 0.938447422724 2 4 11 12 0132 1023 3201 2310 1 0 0 0 0 1 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733730959718 0.555328314401 5 3 6 2 0213 0132 1302 0132 1 0 0 0 0 0 1 -1 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 -2 0 0 2 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448301127725 0.553767263462 12 11 4 7 3201 0132 0132 0132 1 1 1 0 0 1 0 -1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -1 -3 0 0 0 0 3 -3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.075846172900 0.938447422724 8 10 7 5 2310 0132 3201 0132 1 0 0 1 0 -1 1 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 1 0 -1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353294236004 1.135173003425 8 7 5 10 3201 0132 0132 2310 1 0 1 0 0 1 0 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.559624460328 0.311089049512 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_7']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : negation(d['c_0101_7']), 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_1']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_0'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0011_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_7, c_1001_1, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 40453627487/11525650300*c_1100_0^11 - 5181175725331/276615607200*c_1100_0^10 + 8051849442479/138307803600*c_1100_0^9 + 195425068188379/276615607200*c_1100_0^8 + 13447775746457/5762825150*c_1100_0^7 + 347108292918051/92205202400*c_1100_0^6 + 28664118966453/11525650300*c_1100_0^5 - 75099835306243/46102601200*c_1100_0^4 - 711329320078501/138307803600*c_1100_0^3 - 464513101830653/92205202400*c_1100_0^2 - 28935266220991/11525650300*c_1100_0 - 4582266614983/8644237725, c_0011_0 - 1, c_0011_10 - 3340063/35275104*c_1100_0^11 - 8245463/17637552*c_1100_0^10 + 20463625/11758368*c_1100_0^9 + 40286123/2204694*c_1100_0^8 + 657777115/11758368*c_1100_0^7 + 121575145/1469796*c_1100_0^6 + 88738903/1959728*c_1100_0^5 - 814226095/17637552*c_1100_0^4 - 4071814243/35275104*c_1100_0^3 - 51487011/489932*c_1100_0^2 - 108873599/2204694*c_1100_0 - 11059685/1102347, c_0011_3 + 4569967/587918400*c_1100_0^11 + 7277527/293959200*c_1100_0^10 - 135531947/587918400*c_1100_0^9 - 48619571/36744900*c_1100_0^8 - 867512449/587918400*c_1100_0^7 + 338375281/73489800*c_1100_0^6 + 4534540001/293959200*c_1100_0^5 + 1546126037/97986400*c_1100_0^4 - 723716557/587918400*c_1100_0^3 - 465003631/24496600*c_1100_0^2 - 250529253/12248300*c_1100_0 - 25176588/3062075, c_0101_0 - 1, c_0101_1 - 77917/110234700*c_1100_0^11 - 247133/220469400*c_1100_0^10 + 307229/6124150*c_1100_0^9 + 42360097/220469400*c_1100_0^8 - 23254267/36744900*c_1100_0^7 - 379634107/73489800*c_1100_0^6 - 107616196/9186225*c_1100_0^5 - 1063432247/110234700*c_1100_0^4 + 140618108/27558675*c_1100_0^3 + 1253262421/73489800*c_1100_0^2 + 398902861/27558675*c_1100_0 + 131609849/27558675, c_0101_10 - 8272819/440938800*c_1100_0^11 - 19511489/220469400*c_1100_0^10 + 17981831/48993200*c_1100_0^9 + 389961113/110234700*c_1100_0^8 + 1500312431/146979600*c_1100_0^7 + 171641099/12248300*c_1100_0^6 + 486990781/73489800*c_1100_0^5 - 1846295827/220469400*c_1100_0^4 - 8465523751/440938800*c_1100_0^3 - 225567447/12248300*c_1100_0^2 - 232074962/27558675*c_1100_0 - 52485133/27558675, c_0101_12 + 154570553/1763755200*c_1100_0^11 + 448765993/881877600*c_1100_0^10 - 721914991/587918400*c_1100_0^9 - 1008786107/55117350*c_1100_0^8 - 39233682797/587918400*c_1100_0^7 - 2999501819/24496600*c_1100_0^6 - 10525967849/97986400*c_1100_0^5 + 13465299449/881877600*c_1100_0^4 + 278936220437/1763755200*c_1100_0^3 + 14175767221/73489800*c_1100_0^2 + 6375355847/55117350*c_1100_0 + 858480224/27558675, c_0101_3 + 8584487/440938800*c_1100_0^11 + 9879311/110234700*c_1100_0^10 - 20439663/48993200*c_1100_0^9 - 822282323/220469400*c_1100_0^8 - 1407295363/146979600*c_1100_0^7 - 650212487/73489800*c_1100_0^6 + 373938787/73489800*c_1100_0^5 + 3973160321/220469400*c_1100_0^4 + 6215634023/440938800*c_1100_0^3 + 100142261/73489800*c_1100_0^2 - 139269224/27558675*c_1100_0 - 51566041/27558675, c_0101_7 - 11067241/146979600*c_1100_0^11 - 27315221/73489800*c_1100_0^10 + 67905527/48993200*c_1100_0^9 + 133574333/9186225*c_1100_0^8 + 2178272109/48993200*c_1100_0^7 + 200141377/3062075*c_1100_0^6 + 837894359/24496600*c_1100_0^5 - 2956826053/73489800*c_1100_0^4 - 13754011789/146979600*c_1100_0^3 - 494111937/6124150*c_1100_0^2 - 327035918/9186225*c_1100_0 - 60063412/9186225, c_1001_1 - 8272819/440938800*c_1100_0^11 - 19511489/220469400*c_1100_0^10 + 17981831/48993200*c_1100_0^9 + 389961113/110234700*c_1100_0^8 + 1500312431/146979600*c_1100_0^7 + 171641099/12248300*c_1100_0^6 + 486990781/73489800*c_1100_0^5 - 1846295827/220469400*c_1100_0^4 - 8465523751/440938800*c_1100_0^3 - 225567447/12248300*c_1100_0^2 - 232074962/27558675*c_1100_0 - 52485133/27558675, c_1001_10 - 77917/110234700*c_1100_0^11 - 247133/220469400*c_1100_0^10 + 307229/6124150*c_1100_0^9 + 42360097/220469400*c_1100_0^8 - 23254267/36744900*c_1100_0^7 - 379634107/73489800*c_1100_0^6 - 107616196/9186225*c_1100_0^5 - 1063432247/110234700*c_1100_0^4 + 140618108/27558675*c_1100_0^3 + 1253262421/73489800*c_1100_0^2 + 398902861/27558675*c_1100_0 + 131609849/27558675, c_1001_2 - 1, c_1100_0^12 + 6*c_1100_0^11 - 13*c_1100_0^10 - 212*c_1100_0^9 - 799*c_1100_0^8 - 1524*c_1100_0^7 - 1458*c_1100_0^6 - 70*c_1100_0^5 + 1733*c_1100_0^4 + 2444*c_1100_0^3 + 1760*c_1100_0^2 + 704*c_1100_0 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB